82024 has 8 divisors (see below), whose sum is σ = 153810. Its totient is φ = 41008.

The previous prime is 82021. The next prime is 82031. The reversal of 82024 is 42028.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 2500 = 282^2 + 50^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 81989 and 82007.

It is not an unprimeable number, because it can be changed into a prime (82021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5119 + ... + 5134.

2⁸²⁰²⁴ is an apocalyptic number.

It is an amenable number.

82024 is a deficient number, since it is larger than the sum of its proper divisors (71786).

82024 is a wasteful number, since it uses less digits than its factorization.

82024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10259 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 82024 is about 286.3983240174. The cubic root of 82024 is about 43.4490529628.

The spelling of 82024 in words is "eighty-two thousand, twenty-four".